Answer:
172.8
Step-by-step explanation:
24+18+5+3=50
360/50=7.2
7.2x24=172.8
Answer:
A 5.5% = 5400 B 5% = 1800
Step-by-step explanation:
A + B = 7200
A * 0.055 + B * 0.05 = $387
A = 7200 - B
(7200 - B)*0.055 + B*0.05 = 387
396 - 0.055B + 0.05B = 387
396 - 0.005B = 387
0.005B = 9
B = 1800
A = 7200 - B = 7200 - 1800
A = 5400
Psychology
<span>z =(48-87)/14 </span>
<span>z = -2.796 </span>
<span>Economics </span>
<span>z =(52-53)/8 </span>
<span>z = -0.125 </span>
<span>The score of Economics is better.</span>
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The domain is the horizontal extent. Since there are arrows on both ends of the graph, the horizontal extent is from -∞ to ∞.
The range is the vertical extent. The graph shows a minimum at y=-2, which value is in the range. Expressed in interval notation, it is [-2, ∞).
Please note that the "end behavior" of y tends to +∞ in for either direction of x.
__
The graph is "increasing" where it has positive slope, for 3 < x. It is "decreasing" where it has negative slope, for x < 3.
The graph is positive where it is above the x-axis. The points on the x-axis are not part of the "positive" interval(s). You will note there are two intervals where the graph is positive. It isn't difficult to find the answer choice that is a union of two intervals.
The graph is negative where hit is below the x-axis. Again, the points at x=1 and x=5 are not part of that interval, so it is expressed using curved brackets.
Answer:
The vertex of the graph is (-3,1)
Step-by-step explanation:
Here, we want to rewrite the given quadratic equation in the vertex form
We have the vertex form as;
y = a(x-h)^2 + k
where the vertex is (h,k)
Now, by completing the square, we have to divide the coefficient of x by 2, then square; after which we add to both sides; prior to this, we have to replace y by 0
Thus, we have it as follows;
x^2 + 6x + 10 = 0
x^2 + 6x + 10 + 3^2 = 3^2
x^2 + 6x + 19 = 9
x^2 + 6x + 9 = 9-10
(x + 3)^2 = -1
(x + 3)^2 + 1 = 0
So we have the vertex as ;
(h,k) = (-3,1)